Template:Boolf weight triangle

rational weight

w a $0$ ${\frac {1}{32}}$ ${\frac {1}{16}}$ ${\frac {3}{32}}$ ${\frac {1}{8}}$ ${\frac {5}{32}}$ ${\frac {3}{16}}$ ${\frac {7}{32}}$ ${\frac {1}{4}}$ ${\frac {9}{32}}$ ${\frac {5}{16}}$ ${\frac {11}{32}}$ ${\frac {3}{8}}$ ${\frac {13}{32}}$ ${\frac {7}{16}}$ ${\frac {15}{32}}$ ${\frac {1}{2}}$ ${\frac {17}{32}}$ ${\frac {9}{16}}$ ${\frac {19}{32}}$ ${\frac {5}{8}}$ ${\frac {21}{32}}$ ${\frac {11}{16}}$ ${\frac {23}{32}}$ ${\frac {3}{4}}$ ${\frac {25}{32}}$ ${\frac {13}{16}}$ ${\frac {27}{32}}$ ${\frac {7}{8}}$ ${\frac {29}{32}}$ ${\frac {15}{16}}$ ${\frac {31}{32}}$ $1$ sums 0 {{{1}}} {{{2}}} {{{70}}} 1 {{{3}}} {{{4}}} {{{5}}} {{{71}}} 2 {{{6}}} {{{7}}} {{{8}}} {{{9}}} {{{10}}} {{{72}}} 3 {{{11}}} {{{12}}} {{{13}}} {{{14}}} {{{15}}} {{{16}}} {{{17}}} {{{18}}} {{{19}}} {{{73}}} 4 {{{20}}} {{{21}}} {{{22}}} {{{23}}} {{{24}}} {{{25}}} {{{26}}} {{{27}}} {{{28}}} {{{29}}} {{{30}}} {{{31}}} {{{32}}} {{{33}}} {{{34}}} {{{35}}} {{{36}}} {{{74}}} 5 {{{37}}} {{{38}}} {{{39}}} {{{40}}} {{{41}}} {{{42}}} {{{43}}} {{{44}}} {{{45}}} {{{46}}} {{{47}}} {{{48}}} {{{49}}} {{{50}}} {{{51}}} {{{52}}} {{{53}}} {{{54}}} {{{55}}} {{{56}}} {{{57}}} {{{58}}} {{{59}}} {{{60}}} {{{61}}} {{{62}}} {{{63}}} {{{64}}} {{{65}}} {{{66}}} {{{67}}} {{{68}}} {{{69}}} {{{75}}}

integer weight

w a 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 sums 0 {{{1}}} {{{2}}} {{{70}}} 1 {{{3}}} {{{4}}} {{{5}}} {{{71}}} 2 {{{6}}} {{{7}}} {{{8}}} {{{9}}} {{{10}}} {{{72}}} 3 {{{11}}} {{{12}}} {{{13}}} {{{14}}} {{{15}}} {{{16}}} {{{17}}} {{{18}}} {{{19}}} {{{73}}} 4 {{{20}}} {{{21}}} {{{22}}} {{{23}}} {{{24}}} {{{25}}} {{{26}}} {{{27}}} {{{28}}} {{{29}}} {{{30}}} {{{31}}} {{{32}}} {{{33}}} {{{34}}} {{{35}}} {{{36}}} {{{74}}} 5 {{{37}}} {{{38}}} {{{39}}} {{{40}}} {{{41}}} {{{42}}} {{{43}}} {{{44}}} {{{45}}} {{{46}}} {{{47}}} {{{48}}} {{{49}}} {{{50}}} {{{51}}} {{{52}}} {{{53}}} {{{54}}} {{{55}}} {{{56}}} {{{57}}} {{{58}}} {{{59}}} {{{60}}} {{{61}}} {{{62}}} {{{63}}} {{{64}}} {{{65}}} {{{66}}} {{{67}}} {{{68}}} {{{69}}} {{{75}}}

(merged weights)
w 0 1 2 3...4 5...8 9...16 17...32 sums k a -1 0 1 2 3 4 5 0 {{{1}}} {{{2}}} {{{70}}} 1 {{{3}}} {{{4}}} {{{5}}} {{{71}}} 2 {{{6}}} {{{7}}} {{{8}}} {{{72}}} 3 {{{11}}} {{{12}}} {{{13}}} {{{73}}} 4 {{{20}}} {{{21}}} {{{22}}} {{{74}}} 5 {{{37}}} {{{38}}} {{{39}}} {{{75}}}

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see e.g. {{Boolf triangle Magnolia}}